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expeople1 [14]
3 years ago
12

Given that f(x)=x2-3x+3 and g(x)=x-1/4 find f(g(5))

Mathematics
1 answer:
ohaa [14]3 years ago
6 0

Answer:

f(g(5)) = 181/16

Step-by-step explanation:

f(x)=x2-3x+3

g(x)=x-1/4

so we have:

f(g(x)) = (x-1/4)2-3(x-1/4)+3

f(g(5)) = (5-1/4)2 - 3(5-1/4)+3

f(g(5)) = (19/4)2 -3(19/4) +3

f(g(5)) = 361/16 - 57/4 +3

f(g(5)) = 181/16

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McKenzie bought 1.2 pounds of coffe for $11.82. What was the cost per pound?
mihalych1998 [28]
11.82 divided by 1.2=9.85
4 0
3 years ago
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Find the missing measure for a right circular cone given the following information.
xxTIMURxx [149]
<h2>Answer:</h2>

The radius of the cone is:

          r=\dfrac{2}{\sqrt{\pi}}

<h2>Step-by-step explanation:</h2>

The total area of cone is given by:

T.A.=\pi r(l+r)=\pi rl+\pi r^2=12---------(1)

where r is the radius of the cone and l is the slant height of the cone.

and the lateral area of cone is given by:

L.A.=\pi rl=8---------(2)

Hence, from equation (1) and (2) we have:

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r^2=\dfrac{4}{\pi}

i.e.

r=\dfrac{2}{\sqrt{\pi}}

6 0
3 years ago
Pls answer this is due in 30 minutes
ziro4ka [17]

Answer:

1a) t = 0.17b

1b) $36.03

2) 51,167.50

Step-by-step explanation:

1a) 17% converted to a decimal (divide by 100) = 0.17. Multiply that by the amount of the bill (before tipping) to get the amount of the tip

1b) The bill of $248 represents the entire bill (100%) plus the tip amount (17%) which makes 117%. As a decimal, this is 1.17.

To find what the cost was without the tip, divide the bill total by 1.17

248/1.17 = 211.97. That was the bill before the tip was added.

248-211.97 = 36.03 was the tip added.

2) 5.5% converted to a decimal is 0.055

0.55 x 48,500 = 2667.50

$2,667.50 + $48,500 = 51,167.50

Or, you can use what we did in 1b, and his new salary is 1.055 times 48,500

1.055 x 48,500 = 51,167.50

6 0
3 years ago
Forty-two divided by seven plus the quantity three divided by six
ikadub [295]

Answer:

i think its 6.5

Step-by-step explanation:

42/7 = 6

3/6 = 0.5

6+0.5=6.5

6 0
3 years ago
Solve the equation 29 - (x+8) = 6x - 7
max2010maxim [7]
First step you should do is s<span>implify both sides of your equation:
</span>29-(x+8)=6x-7
Distribute the Negative Sign:
29+-1(x+8)=6x-7
29+-1x+(-1)(8)=6x-7
29+-x+-8=6x-7
29+-x+-8=6x+-7
<span>Combine Like Terms:
</span>(-x)+(29+-8)=6x-7
-x+21=6x-7
<span>Subtract 6x from both sides:
</span>-x+21-6x=6x-7-6x
-7x+21=-7
<span>Subtract 21 from both sides:
</span>-7x+21-21=-7-21 
-7x=-28 
<span>Divide both sides by -7:
</span>-7x/-7 = -28/-7
And now your answer should be:
x=4
~~~~~
Good luck~ Sans
6 0
2 years ago
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